Jordana Cepelewicz

Before he won a Fields Medal for his pioneering work balancing randomness and order, Yu Deng first had to achieve equilibrium in his own life.

Intuition breaks down once we’re dealing with the endless. To begin with: Some infinities are bigger than others.

Explore a shape that can’t pass through itself, a teenage prodigy, and two new kinds of infinity.

Mathematicians have started to prepare for a profound shift in what it means to do mathematics.

Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in artificial intelligence are starting to transform the subject’s future.

Born poor in colonial India and dead at 32, Ramanujan had fantastical, out-of-nowhere visions that continue to shape the field today.

The proof creates stricter limits on potential exceptions to the famous Riemann hypothesis.

Number theorist Ken Ono is teaching Olympians to swim more efficiently.

Useful mathematical concepts, like the number line, can linger for millennia before they are rigorously defined.

The topologist Danny Calegari discusses the inevitability of disappointment in math, and how to learn from it.